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Finding the Third Proportional to 1,282,894 and 2,031,281

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Solution

The third proportional to 1,282,894 and 2,031,281 is: 3,216,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,894 : 2,031,281 = 2,031,281 : x
  2. Step 2: Convert to fraction form
    1,282,894/2,031,281 = 2,031,281/x
  3. Step 3: Cross multiply
    1,282,894x = 2,031,281 × 2,031,281
  4. Step 4: Simplify right side
    1,282,894x = 4,126,102,500,961
  5. Step 5: Solve for x
    x = 4,126,102,500,961/1,282,894
  6. Step 6: Final answer
    x = 3,216,245.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.